### University of Toronto Geometry and Topology Seminar - September 25, 2023

Existence of closed embedded curves of constant curvature

The existence of a closed embedded curve of any prescribed constant curvature in any metric on the 2-sphere was conjectured in the 1980s by Novikov. I will discuss recent progress towards this conjecture (and some related problems) using min-max techniques, based on joint work with Lorenzo Sarnataro.